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随机市场系数的M-V最优投资组合选择:一个鞅方法 被引量:4

Mean-variance portfolio selection with random parameters:a martingale approach
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摘要 通过引进凹函数U(x)以及等价鞅测度p,应用鞅的性质得到了随机市场系数情形下的M-V模型的最优投资策略以及有效前沿. A function U(x) and an equivalent martingale measure  are introduced.Applying the properties of the martingale,the optimal investment decision and the efficient frontier of the M\|V model with random parameters are presented.
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2003年第3期295-302,共8页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词 M—V模型 随机市场系数 等价鞅测度 M\|V model random parameter equivalent martingale measure
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参考文献8

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同被引文献24

  • 1明宗峰,郭文旌.固定消费模式下的最优投资决策[J].华南理工大学学报(自然科学版),2005,33(2):94-98. 被引量:6
  • 2彭实戈.倒向随机微分方程及其应用[J].数学进展,1997,26(2):97-112. 被引量:72
  • 3赵宏邹,雯汪浩.证券市场预测的神经网络方法[J].系统工程理论与实践,1997,17(6):127-131. 被引量:29
  • 4Markowitz H.Portfolio selection[J].J Finance,1952,7:77-91.
  • 5Zhou X Y,Li D.Continuous-time mean-variance portfolio selection:a stochastic LQ framework[J].Appl Math Optim,2000,42:19-33.
  • 6Lim A,Zhou X Y.Mean-variance portfolio selection with random parameters in a complete market[J].Math Oper Res,2002,27(1):101-120.
  • 7Merton R C.Option pricing when underlying stock returns are discontinuous[J].J Financial Econ,1976,3:125-144.
  • 8Jeanblanc-Picqu M,Pontier M.Optimal portfolio for a small investor in a market model with discontinuous prices[J].Appl Math Optim,1990,22:287-310.
  • 9Guo W J,Xu C M.Optimal portfolio selection when stock prices follow an jump-diffusion process[J].Mathematical Methods of Operations Research,2004,60:485-496.
  • 10Karatzas,I,Shreve S.Brownian Motion and Stochastic Calculus[M],New York:Springer Verlag,1988.

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